Constructing a Triangle when 2 angles, and 1 side between them is known (ASA)
Let’s take an example
Draw a triangle Δ ABC, with ∠ A = 30° , ∠ B = 60° and AB = 4 cm
First we draw a rough sketch
We follow these steps
Steps of construction
1. Draw a line segment AB of length 4 cm
2. Now, we draw 30° from point A
Check Ex 11.1, 3 (i) of Chapter 11 Class 9 NCERT to see how to draw 30°
3. Now, we draw 60° from point B
Check Construction 11.3 of Chapter 11 Class 9 NCERT to see how to draw 60°
4. Let point C be the point where the two rays intersect
and label the sides
Thus, Δ ABC is the required triangle